Answer:
Step-by-step explanation:
A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.
The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:
The coordinates of the foci is at (±c, 0), where c² = a² + b²
Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:
I don't feel like explaining so...
a. = 4
The foci c is at +/-2√5, using c² = a² + b²:
B = 2
Substituting the value of a and b to get the equation of the hyperbola:
Answer:
25 feet
Step-by-step explanation:
Basically that non-regulation tennis court is a rectangle. You want to know the length of the diagonal. If you draw it on paper, you'll see that this then become 2 triangles... of which you have 2 sides, and are seeking the hypotenuse. So....
H² = A² + B²
H² = 20² + 15² = 400 + 225 = 625
H = 25 feet.
Answer: a= c+11
Step-by-step explanation:
a has 9 more than b which has 2less than c
The solutions to the respective equations shown in the image are 220, 41, -52, 1.385 and 11
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
a) 23 + (-16) + 42 * 5 - (-3)
= 23 - 16 + 210 + 3 = 220
b) -6(12 - 15) + 23
= -6(-3) + 23 = 18 + 23
= 41
c) -50 + (-10) + (5 - 3)4
= -50 - 10 + 2(4) = -50 - 10 + 8
= -52
d) -4.5 (-0.53) + (-1)
= 2.385 - 1
= 1.385
e) 5 - 2 + 8
= 3 + 8
= 11
The solutions to the respective equations shown in the image are 220, 41, -52, 1.385 and 11
Find out more on equation at: brainly.com/question/2972832
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